Explanation Given Information: A point is ( 14 , 3 ) . Inequalities are 6 x + 3 y ≤ 96 , x + y ≤ 18 , 2 x + 6 y ≤ 72 , x ≥ 0 and y ≥ 0 . Consider a point ( 14 , 3 ) for furniture manufacturing problem. A point is in feasible set of a problem of inequalities when it is satisfies all inequality of problem. Now, put point ( 14 , 3 ) in the inequality 6 x + 3 y ≤ 96 . 6 ( 14 ) + 3 ( 3 ) ≤ 96 84 + 9 ≤ 96 93 ≤ 96 Hence, point ( 14 , 3 ) satisfies with inequality 6 x + 3 y ≤ 96 . Now, put point ( 14 , 3 ) in the inequality x + y ≤ 18 . ( 14 ) + ( 3 ) ≤ 18 17 ≤ 18 Hence, point ( 14 , 3 ) satisfies with inequality x + y ≤ 18

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 3.2, Problem 2E

To determine

Whether the point (14,3) is in feasible set of furniture manufacturing problem for inequalities 6x+3y≤96, x+y≤18, 2x+6y≤72, x≥0 and y≥0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.2, Problem 1E

Chapter 3.2, Problem 3E

Students have asked these similar questions

Q3*) Consider the integral I Yn, Y₁, Y2, . . ., Y'n) dã, [F(x, Y 1, Y2, · · Yng) = - where y1, 2, ...y are dependent variables, dependent on x. If F is not explicitly dependent on x, deduce the equivalent of the Beltrami identity. Optional: Give an example of a function F(y1, Y2, Y₁, y2), and write down the Euler-Lagrange equations and Beltrami Identity for your example. Does having this Beltrami Identity help solve the problem?

Write an integral that is approximated by the following Riemann sum. Substitute a into the Riemann sum below where a is the last non-zero digit of your banner ID. You do not need to evaluate the integral. 2000 (10 1 ((10-a) +0.001) (0.001)

Solve the following problem over the interval from x=0 to 1 using a step size of 0.25 where y(0)= 1. dy = dt (1+4t)√√y (a) Euler's method. (b) Heun's method

Chapter 3 Solutions

Finite Mathematics & Its Applications (12th Edition)

Ch. 3.1 - Graph the inequality 3xy3.Ch. 3.1 - Graph the feasible set for the system of...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 5-7, solve for x, 2x53 Ch. 3.1 - Prob. 6E Ch. 3.1 - In Exercises 5-7, solve for x, 7. Ch. 3.1 - Which of the following results from solving x+13...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

Whether the point ( 14 , 3 ) is in feasible set of furniture manufacturing problem for inequalities 6 x + 3 y ≤ 96 , x + y ≤ 18 , 2 x + 6 y ≤ 72 , x ≥ 0 and y ≥ 0 .

Solution Summary: The author explains that the point (14,3) is feasible set of furniture manufacturing problem.

Videos

Whether the point (14,3) is in feasible set of furniture manufacturing problem for inequalities 6x+3y≤96, x+y≤18, 2x+6y≤72, x≥0 and y≥0.

Want to see the full answer?

Chapter 3 Solutions